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Finding the Fourth Proportional to 16,591, 24,886.50 and 4,903.31

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Solution

The fourth proportional to 16,591, 24,886.50 and 4,903.31 is: 7,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591 : 24,886.50 = 4,903.31 : x
  2. Step 2: Convert to fraction form
    16,591/24,886.50 = 4,903.31/x
  3. Step 3: Cross multiply
    16,591x = 24,886.50 × 4,903.31
  4. Step 4: Simplify right side
    16,591x = 122,026,224.32
  5. Step 5: Solve for x
    x = 122,026,224.32/16,591
  6. Step 6: Final answer
    x = 7,354.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.